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Finding the Fourth Proportional to 3,531.72, 5,298.26 and 1,777.11

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Solution

The fourth proportional to 3,531.72, 5,298.26 and 1,777.11 is: 2,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.72 : 5,298.26 = 1,777.11 : x
  2. Step 2: Convert to fraction form
    3,531.72/5,298.26 = 1,777.11/x
  3. Step 3: Cross multiply
    3,531.72x = 5,298.26 × 1,777.11
  4. Step 4: Simplify right side
    3,531.72x = 9,415,590.83
  5. Step 5: Solve for x
    x = 9,415,590.83/3,531.72
  6. Step 6: Final answer
    x = 2,666.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.